Multiple choice

Passage

The following questions are accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the questions.

Calculate SP of article A, If shopkeeper earns a profit of 20% on its CP. (A) He marked up the price Rs. 75 more than its CP. (B) Had he give discount of 10% on its MP, he would earn Rs. 7.5 less rupees than actual.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the questions.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = x. Profit = 0.2x, so SP = 1.2x. MP = x + 75. Discount is 10% of MP, so SP = 0.9(x+75). We are told 1.2x - 0.9(x+75) = 7.5. This allows solving for x. Both statements are required to establish the relationship between CP, MP, and the discount.

AI explanation

Statement A provides the markup amount but fails to give the actual cost price or marked price. Statement B gives the discount percentage and the resulting change in profit, but it lacks the initial cost price needed to establish a baseline. Combining both statements sets up an equation where the actual profit is 20% of the cost price, and the marked price is the cost price plus 75. The discounted profit equation becomes 0.9 multiplied by the marked price minus the cost price equals the actual profit minus 7.5, which allows you to solve for the cost price and ultimately the selling price. Both statements taken together are necessary to answer the question, but neither statement alone is sufficient.

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